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lfunc_lfunctions • Show schema
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{'Lhash': '209324784461668452584863039648', 'a10': [0.0, 0.0], 'a2': [0.8642606223145122, 1.1193987567960455], 'a3': [-1.7236764794761013, -0.17011582554504887], 'a4': [-0.5061071534330641, 1.9349045323332832], 'a5': [0.0, 0.0], 'a6': [-1.2992782631944422, -2.076505717495243], 'a7': [-2.0696279303559, 2.0696279303559], 'a8': [-2.603338211396797, 1.1057260768749761], 'a9': [2.942121211798253, 0.5864492945573209], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.791024121276825, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8642606223145122, -1.1193987567960455]]], [3, [[1.0, 0], [1.7236764794761013, 0.17011582554504887]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '600.293', 'coefficient_field': 'CDF', 'conductor': 600, 'conductor_radical': 30, 'conjugate': '3211547713637928239948618329613', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8642606223145122, -1.1193987567960455]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.791024121276825, 'bad_primes': [2, 3, 5], 'central_character': '120.53', 'conductor': 600, 'conductor_radical': 30, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/w/j/293/12'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-600-120.53-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-600-120.53-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.36362894494259485, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.16512813895562496184733893796', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '209324784461668452584863039648', 'Lhash_array': ['209324784461668452584863039648'], 'label': '2-600-120.53-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/w/j/293/12'}